Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Ymai, L. H."'
High sensitivity quantum interferometry requires more than just access to entangled states. It is achieved through deep understanding of quantum correlations in a system. Integrable models offer the framework to develop this understanding. We communi
Externí odkaz:
http://arxiv.org/abs/2004.11987
Autor:
Ymai, L H, Tonel, A P
In this work we show the simplest and integrable model for Bose-Einstein condensates loaded in a triple well potential where the tunneling between two wells can be controlled by the other well showing a behavior similar to an electronic field effect
Externí odkaz:
http://arxiv.org/abs/1701.00716
Publikováno v:
J. Phys. A: Math. Theor. 50 (2017) 264001 (13pp)
In this work we present a general construction of integrable models for boson tunneling in multi-well systems. We show how the models may be derived through the Quantum Inverse Scattering Method and solved by algebraic Bethe ansatz means. From the tr
Externí odkaz:
http://arxiv.org/abs/1606.00816
Publikováno v:
J. Phys. A: Math. Theor. 48 (2015) 494001
We introduce an integrable, four-well ring model for bosons where the tunneling couplings between nearest-neighbour wells are not restricted to be equal. We show how the model may be derived through the Quantum Inverse Scattering Method from a soluti
Externí odkaz:
http://arxiv.org/abs/1507.07988
Publikováno v:
JHEP 04 (2013) 136
We examine the N=1 super sinh-Gordon (SShG) model restricted into the half line through a reduction from the defect SShG model. The B\"acklund transformations are employed to generate one-, two- and three-soliton solutions as well as a class of breat
Externí odkaz:
http://arxiv.org/abs/1304.4582
Publikováno v:
JHEP 1102:017,2011
In this paper we discuss the Lax formulation of the Grassmanian and Bosonic Thirring models in the presence of jump defects. For the Grassmanian case, the defect is described by B\"acklund transformation which is responsible for preserving the integr
Externí odkaz:
http://arxiv.org/abs/1012.1537
Publikováno v:
J. Phys. A: Math. Theor. 43 (2010) 395203
The construction of a nonautonomous mixed mKdV/sine-Gordon model is proposed by employing an infinite dimensional affine Lie algebraic structure within the zero curvature representation. A systematic construction of soliton solutions is provided by a
Externí odkaz:
http://arxiv.org/abs/1004.3488
Publikováno v:
PoS ISFTG2009:031,2009
The purpose of our work is to extend the formulation of classical affine Toda Models in the presence of jump defects to pure fermionic Thirring model. As a first attempt we construct the Lagrangian of the Grassmanian Thirring model with jump defect (
Externí odkaz:
http://arxiv.org/abs/0910.2888
Publikováno v:
J.Math.Phys.51:033501,2010
The permutability of two Backlund transformations is employed to construct a non linear superposition formula and to generate a class of solutions for the N=2 super sine-Gordon model.
Comment: two references added
Comment: two references added
Externí odkaz:
http://arxiv.org/abs/0908.3651
Publikováno v:
J.Phys.A41:312001,2008
Employing the Hirota's method, a class of soliton solutions for the N=2 super mKdV equations is proposed in terms of a single Grassmann parameter. Such solutions are shown to satisfy two copies of N=1 supersymmetric mKdV equations connected by nontri
Externí odkaz:
http://arxiv.org/abs/0712.0626